Question

Consider a wire in the shape of a helix r(t)=costi+sintj+3tk,0≤t≤2π with constant density function ρ(x,y,z)=1. A. Determine the mass of the wire: B. Determine the coordinates of the center of mass: ( , , ) C. Determine the moment of inertia about the z-axis: Note: If a wire with linear density ρ(x,y,z) lies along a space curve C, its moment of inertia about the z-axis is defined by Iz=∫C(x2+y2)ρ(x,y,z)ds.